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157123764 = 223272327109
BaseRepresentation
bin10010101110110…
…00010010110100
3101221122201021200
421113120102310
5310210430024
623331412500
73615346530
oct1127302264
9357581250
10157123764
1180768456
1244754130
1326724555
1416c20bc0
15dbda2c9
hex95d84b4

157123764 has 72 divisors (see below), whose sum is σ = 473665920. Its totient is φ = 42939072.

The previous prime is 157123753. The next prime is 157123819. The reversal of 157123764 is 467321751.

It is a happy number.

157123764 is a `hidden beast` number, since 1 + 571 + 23 + 7 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7759 + ... + 19350.

Almost surely, 2157123764 is an apocalyptic number.

157123764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157123764 is an abundant number, since it is smaller than the sum of its proper divisors (316542156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157123764 is a wasteful number, since it uses less digits than its factorization.

157123764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27149 (or 27144 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 157123764 is about 12534.9018344780. The cubic root of 157123764 is about 539.6107894988.

The spelling of 157123764 in words is "one hundred fifty-seven million, one hundred twenty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 27109 54218 81327 108436 162654 189763 243981 325308 379526 487962 569289 623507 759052 975924 1138578 1247014 1707867 1870521 2277156 2494028 3415734 3741042 4364549 5611563 6831468 7482084 8729098 11223126 13093647 17458196 22446252 26187294 39280941 52374588 78561882 157123764